New analytical planetary theories VSOP2013 and TOP2013

Simon, J. L.; Francou, G.; Fienga, A.; Manche, H.

doi:10.1051/0004-6361/201321843

Cited by 33 publications

(22 citation statements)

References 14 publications

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“…The physical analysis of the main giant planets perturbations can be very easily performed using VSOP2013 planetary theory (Simon et al 2013), where planetary perturbations are expressed as Poisson series. In that development, the purely periodic part is obtained as a trigonometric series in terms of planetary orbital longitudes.…”

Section: Theoretical Estimatesmentioning

confidence: 99%

“…We have only considered the giant planet perturbations. Nevertheless, the Theory of the Outer Planets, TOP2013 (Simon et al 2013), is more accurate than VSOP2013 over several thousands of years, with a different Fourier series representation in Poisson's expansion. Using this representation, as suggested by the reviewer, we can also estimate the possible variations in the periodicities of these inequalities, comparing their corresponding TOP2013/VSOP2013 values.…”

Section: Theoretical Estimatesmentioning

confidence: 99%

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Solar barycentric dynamics from a new solar-planetary ephemeris

Cionco

Pavlov

2018

A&A

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Aims. The barycentric dynamics of the Sun has increasingly been attracting the attention of researchers from several fields, due to the idea that interactions between the Sun’s orbital motion and solar internal functioning could be possible. Existing high-precision ephemerides that have been used for that purpose do not include the effects of trans-Neptunian bodies, which cause a significant offset in the definition of the solar system’s barycentre. In addition, the majority of the dynamical parameters of the solar barycentric orbit are not routinely calculated according to these ephemerides or are not publicly available. Methods. We developed a special version of the IAA RAS lunar–solar–planetary ephemerides, EPM2017H, to cover the whole Holocene and 1 kyr into the future. We studied the basic and derived (e.g., orbital torque) barycentric dynamical quantities of the Sun for that time span. A harmonic analysis (which involves an application of VSOP2013 and TOP2013 planetary theories) was performed on these parameters to obtain a physics-based interpretation of the main periodicities present in the solar barycentric movement. Results. We present a high-precision solar barycentric orbit and derived dynamical parameters (using the solar system’s invariable plane as the reference plane), widely accessible for the whole Holocene and 1 kyr in the future. Several particularities and barycentric phenomena are presented and explained on dynamical bases. A comparison with the Jet Propulsion Laboratory DE431 ephemeris, whose main differences arise from the modelling of trans-Neptunian bodies, shows significant discrepancies in several parameters (i.e., not only limited to angular elements) related to the solar barycentric dynamics. In addition, we identify the main periodicities of the Sun’s barycentric movement and the main giant planets perturbations related to them.

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Section: Theoretical Estimatesmentioning

confidence: 99%

Section: Theoretical Estimatesmentioning

confidence: 99%

Solar barycentric dynamics from a new solar-planetary ephemeris

Cionco

Pavlov

2018

A&A

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“…The new analytical planetary theory VSOP2013, together with the Theory of the Outer Planets TOP2013 were developed by Simon et al (2013). The VSOP2013 is fitted to the INPOP10a (Intégrateur Numérique Planétaire de l'Observatoire de Paris) numerical planetary ephemeris ) and the accuracy between 1890 and 2000 is improved by a factor two to 24 depending on the planets, as compared to its previous version VSOP2000.…”

Section: Improving the Precession Of The Eclipticmentioning

confidence: 99%

“…The long-term data (from −4000 to 8000, used in this study) is more accurate by a factor of five with respect to VSOP2000. Since the VSOP2000 solution was ten to 100 times more precise than the VSOP87 as used in the IAU 2006 model (Simon et al 2013), the improvement of VSOP2013 with respect to VSOP87 is quite remarkable. The VSOP2013 has provided numerical Chebyshev Ephemerides from −4500 to 4500 with a similar structure to DE ephemerides (Jet Propulsion Laboratory Development Ephemeris).…”

Section: Improving the Precession Of The Eclipticmentioning

confidence: 99%

Evaluation of a possible upgrade of the IAU 2006 precession

Liu

Capitaine

2017

A&A

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Context. The International Astronomical Union (IAU) adopted a new precession model at its 2006 General Assembly. After more than ten years since the publication of the so-called IAU 2006 precession, we have noticed progress in solar system ephemerides and geophysical observations, which can be used to refine the precession model. Another progress is the increase by 30% since 2003, of the length of the very long baseline interferometry (VLBI) observations to be compared with the theoretical model. Results. For the precession of the ecliptic, the changes in the new solutions with respect to the IAU 2006 are about several tens of microarcseconds in the linear terms of P A and Q A . The upgraded precession of the equator is such that the quadratic and cubic terms in the quantity ψ A differ significantly from IAU 2006 due to the revised J 2 model. The statistics of the VLBI celestial pole offsets and least squares fits with different empirical models, show that the LC precession is slightly more consistent with the VLBI observations, but the improvement relative to the IAU 2006 model is not definitely convincing at present. Conclusions. The upgraded LC precession obtained with the latest theoretical and observational improvements has shown some advantages with respect to the IAU 2006 model. However, due to negligible changes in the precession of the ecliptic and large uncertainties in the J 2 variation, we recommend that the standard IAU 2006 model be retained for practical use and continuity reason. The next precession-nutation model should be constructed with a uniform dynamical approach in the framework of ICRF3 and Gaia reference frame and without the use of a conventional ecliptic.

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“…To construct a planetary theory two major ways can be considered: the use of a numerical integrator [8], [6] or the use of analytical methods to integrate the problem [2], [22], [23], [26].…”

Section: Introductionmentioning

confidence: 99%

Geometrical definition of a continuous family of time transformations generalizing and including the classic anomalies of the elliptic two-body problem

Ortí

Marco

Martínez

2017

Journal of Computational and Applied Mathematics

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This paper is aimed to address the study of techniques focused on the use of a family of anomalies based on a family of geometric transformations that includes the true anomaly f , the eccentric anomaly g and the secondary anomaly f ′ defined as the polar angle with respect to the secondary focus of the ellipse.This family is constructed using a natural generalization of the eccentric anomaly. The use of this family allows closed equations for the classical quantities of the two body problem that extends the classic, which are referred to eccentric, true and secondary anomalies.In this paper we obtain the exact analytical development of the basic quantities of the two body problem in order to be used in the analytical theories of the planetary motion. In addition, this paper includes the study of the minimization of the errors in the numerical integration by an appropriate choice of parameters in our selected family of anomalies for each value of the eccentricity

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New analytical planetary theories VSOP2013 and TOP2013

Cited by 33 publications

References 14 publications

Solar barycentric dynamics from a new solar-planetary ephemeris

Solar barycentric dynamics from a new solar-planetary ephemeris

Evaluation of a possible upgrade of the IAU 2006 precession

Geometrical definition of a continuous family of time transformations generalizing and including the classic anomalies of the elliptic two-body problem

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